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132132200202000 = 24325337198396697
BaseRepresentation
bin11110000010110001101100…
…110110110011111100010000
3122022211201022012212020002200
4132002301230312303330100
5114304323221222431000
61145004410024043200
736555144045324135
oct3602615466637420
9568751265766080
10132132200202000
1139112a513754a9
12129a0132603500
13589602279364b
14248b33840858c
1510420dd646500
hex782c6cdb3f10

132132200202000 has 240 divisors, whose sum is σ = 473966537174832. Its totient is φ = 34282949068800.

The previous prime is 132132200201987. The next prime is 132132200202011. The reversal of 132132200202000 is 202002231231.

132132200202000 is a `hidden beast` number, since 1 + 321 + 322 + 0 + 0 + 2 + 0 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4204156563216 + 127928043638784 = 2050404^2 + 11310528^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98532349 + ... + 99864348.

Almost surely, 2132132200202000 is an apocalyptic number.

132132200202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132132200202000 is an abundant number, since it is smaller than the sum of its proper divisors (341834336972832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132132200202000 is a wasteful number, since it uses less digits than its factorization.

132132200202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198396763 (or 198396744 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132132200202000 its reverse (202002231231), we get a palindrome (132334202433231).

The spelling of 132132200202000 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, two hundred million, two hundred two thousand".